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147385840512 = 2733113194513
BaseRepresentation
bin1000100101000011100…
…0010111001110000000
3112002102120110110012210
42021100320113032000
54403321233344022
6151412542022120
713435233655011
oct2112070271600
9462376413183
10147385840512
1157562512469
1224693277940
1310b8aabc621
1471c2505008
153c79353a0c
hex2250e17380

147385840512 has 128 divisors (see below), whose sum is σ = 407211678720. Its totient is φ = 47180390400.

The previous prime is 147385840493. The next prime is 147385840561. The reversal of 147385840512 is 215048583741.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512168 + ... + 1606680.

It is an arithmetic number, because the mean of its divisors is an integer number (3181341240).

Almost surely, 2147385840512 is an apocalyptic number.

147385840512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147385840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203605839360).

147385840512 is an abundant number, since it is smaller than the sum of its proper divisors (259825838208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147385840512 is a wasteful number, since it uses less digits than its factorization.

147385840512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94692 (or 94680 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 147385840512 in words is "one hundred forty-seven billion, three hundred eighty-five million, eight hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 131 186 192 248 262 372 384 393 496 524 744 786 992 1048 1488 1572 1984 2096 2976 3144 3968 4061 4192 5952 6288 8122 8384 11904 12183 12576 16244 16768 24366 25152 32488 48732 50304 64976 94513 97464 129952 189026 194928 259904 283539 378052 389856 519808 567078 756104 779712 1134156 1512208 1559424 2268312 2929903 3024416 4536624 5859806 6048832 8789709 9073248 11719612 12097664 12381203 17579418 18146496 23439224 24762406 35158836 36292992 37143609 46878448 49524812 70317672 74287218 93756896 99049624 140635344 148574436 187513792 198099248 281270688 297148872 375027584 383817293 396198496 562541376 594297744 767634586 792396992 1125082752 1151451879 1188595488 1535269172 1584793984 2302903758 2377190976 3070538344 4605807516 4754381952 6141076688 9211615032 12282153376 18423230064 24564306752 36846460128 49128613504 73692920256 147385840512